contestada

Maggie and Liam are planning a party to celebrate the beginning of 8
th grade. They have $85
to spend and decide that Desserts-to-Go will cater the event.
blueberry pie 8.50
brownie plate 10.25
chocolate strawberry 0.75
fruit tart 1.75
cheesecake square 1.25

If sales tax is 6.75%
, and Maggie and Liam include a 15%
tip before tax, what combination of desserts will allow them to stay within their budget?

Responses

Respuesta :

Answer:

From the combinations listed above, option 2 (Blueberry pie + Fruit tart + Cheesecake square) is the only combination that fits within the available budget of $66.5125.

Step-by-step explanation:

To determine the combination of desserts that will allow Maggie and Liam to stay within their budget, we need to consider the prices of the desserts, the sales tax, and the tip.

Let's calculate the total amount they can spend after considering the sales tax and the tip:

Budget = $85

Sales tax = 6.75% = 6.75/100 = 0.0675

Tip = 15% = 15/100 = 0.15

Total amount available to spend = Budget - (Budget * Sales tax) - (Budget * Tip)

Total amount available to spend = $85 - ($85 * 0.0675) - ($85 * 0.15)

Total amount available to spend = $85 - $5.7375 - $12.75

Total amount available to spend = $85 - $18.4875

Total amount available to spend = $66.5125

Now, let's check the prices of the desserts and find a combination that fits within the available budget:

- Blueberry pie: $8.50

- Brownie plate: $10.25

- Chocolate strawberry: $0.75

- Fruit tart: $1.75

- Cheesecake square: $1.25

We can try different combinations to see if they fit within the available budget:

1. Blueberry pie + Brownie plate + Chocolate strawberry

Total cost = $8.50 + $10.25 + $0.75 = $19.50

2. Blueberry pie + Fruit tart + Cheesecake square

Total cost = $8.50 + $1.75 + $1.25 = $11.50

3. Brownie plate + Chocolate strawberry + Fruit tart

Total cost = $10.25 + $0.75 + $1.75 = $12.75

4. Brownie plate + Fruit tart + Cheesecake square

Total cost = $10.25 + $1.75 + $1.25 = $13.25

From the combinations listed above, option 2 (Blueberry pie + Fruit tart + Cheesecake square) is the only combination that fits within the available budget of $66.5125.

Therefore, the combination of desserts that Maggie and Liam can choose to stay within their budget is Blueberry pie, Fruit tart, and Cheesecake square.